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Finding the Fourth Proportional to 428,002.80, 641,543.40 and 161,660.40

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Solution

The fourth proportional to 428,002.80, 641,543.40 and 161,660.40 is: 242,316.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,002.80 : 641,543.40 = 161,660.40 : x
  2. Step 2: Convert to fraction form
    428,002.80/641,543.40 = 161,660.40/x
  3. Step 3: Cross multiply
    428,002.80x = 641,543.40 × 161,660.40
  4. Step 4: Simplify right side
    428,002.80x = 103,712,162,661.36
  5. Step 5: Solve for x
    x = 103,712,162,661.36/428,002.80
  6. Step 6: Final answer
    x = 242,316.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.